Simplifying Expressions

PEMDAS

1

40-:4-(5-3)

8

2

(9-2^2+10xx8)-:5

17

3

(4^2xx2)-:(10-5+3)

4

4

9+4xx(3^3-7)-:8

19

5

(4^3-:2+7-8)xx3

93

Combine Like Terms

1

7p-1-9p-6

-2p-7

2

n-10+9n-3

10n-13

3

5x+7y-x+2y-3x

x+9y

4

-4+3a+2a^2-8

2a^2+3a-12

5

x^2+2xy-7xy+4y^2

x^2+4y^2-5xy

Distributive Prop

1

-3(x+7)-4x

-7x-21

2

4-2(-3x+2)

6x-4

3

-3(x+2)+5(x+4)

2x+14

4

5(-2n+4)+2(n+3)

-8n+26

5

8(-5a-3)-3(-6+7a)

-61a-6

Vocabulary

1

What is a letter or symbol used to represent an unknown numerical value?

Variable

2

What is a fixed value called?

Constant

3

What are elements of an expression that match called?

Like Terms

4

What are the rules used for simplifying expressions?

PEMDAS/Order of Operations

5

What is an integer that is multiplied by a variable called?

Coefficient

Properties of #'s

1

Any number times zero is zero.

Zero Property of Multiplication

2

a+0=a

Additive Identity

3

(a+b)+c=a+(b+c)

Associative Property of Addition

4

a(b+c)=ab+ac

Distributive Property

5

a(1/a)

Multiplicative Inverse